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Simplifying 4v + -12 = -2(v + 3) Reorder the terms: -12 + 4v = -2(v + 3) Reorder the terms: -12 + 4v = -2(3 + v) -12 + 4v = (3 * -2 + v * -2) -12 + 4v = (-6 + -2v) Solving -12 + 4v = -6 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -12 + 4v + 2v = -6 + -2v + 2v Combine like terms: 4v + 2v = 6v -12 + 6v = -6 + -2v + 2v Combine like terms: -2v + 2v = 0 -12 + 6v = -6 + 0 -12 + 6v = -6 Add '12' to each side of the equation. -12 + 12 + 6v = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 6v = -6 + 12 6v = -6 + 12 Combine like terms: -6 + 12 = 6 6v = 6 Divide each side by '6'. v = 1 Simplifying v = 1
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